Найдите tga, если :. Created by Ruslanagadul. matematika-ru

Найдите tga, если :...

Ruslanagadul @Ruslanagadul

August 2022 1 7 Report

Найдите tga, если :

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QDominus

$\tg( \alpha ) = \frac{ \sin( \alpha ) }{ \cos( \alpha ) }$

Найдём sin(a):

$\sin {}^{2} ( \alpha ) =1 - \cos {}^{2} ( \alpha )$

$\sin( \alpha ) = ± \sqrt{1 - ( \frac{5 \sqrt{29} }{29} ) {}^{2} } = ± \sqrt{1 - \frac{25}{29} } = ± \sqrt{ \frac{4}{29} } = ± \frac{2\sqrt{29}}{29}$

Так как альфа находится в первой четверти, то и sin(a) и tg(a) будут неотрицательными, поэтому $\sin( \alpha ) = \frac{2\sqrt{29}}{29}$

Теперь мы можем найти tg(a):

$\tg( \alpha ) = \frac{ \frac{2\sqrt{29}}{29} }{ \frac{5 \sqrt{29} }{29} } = \frac{2\sqrt{29}}{29} \times \frac{29}{5 \sqrt{29} } = \frac{2}{5}$

Ответ: $\tg(\alpha) = 0.4$

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Answers & Comments

2 a esli sina096 i aye005p

2 a esli sina096 i a ye 005p

najdite tga esli

na risunke izobrazheny grafik funkcii y fx i kasatelnaya k nemu v tochke s absb0f4b354629d60adc3ceef27cd3bf65a 88415

pomogite reshit pozhalujstaadf6e9d245a7f2df2296c8beb9cec975 72235

pomogite reshit pozhalujsta319022c5c41440974f1b8967c7b261be 58023

pomogite reshit pozhalujsta1368ff55727bf4a0268075afa62c4ca3 12047

pomogite reshit pozhalujsta8f8da751e00df30ca9aa9774c897db37 37834

pomogite reshit994e4e6c12c4b8ef164bdcfbb7fb867b 67318

pomogite reshit srochnof89a1925abb52de00956fd4837f1ea31 22832

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